How do you solve 2sinthetacostheta +costheta=0?

1 Answer
May 17, 2017

theta=pi/2+npi, 11pi/6+2npi, 7pi/6+2npi

Explanation:

Factor out a costheta:

(costheta)(2sintheta+1)=0

Now solve for each of these:

costheta=0

This happens when theta=pi/2+npi where n is a whole number.

2sintheta+1=0

sintheta=-1/2

This happens at theta=7pi/6+2npi and theta=11pi/6+2npi